Homogenization of an eigenvalue problem in a two-component domain with interfacial jump
Issue Date
2-2021
Abstract
This work concerns the asymptotic behaviour of the eigenvalues and eigenvectors of a problem posed on an ε-periodic two-component domain with an imperfect interface. We obtain characterizations of the eigenvalues and give homogenization results using the periodic unfolding method. The eigenvalues of the ε-problem converge to the corresponding eigenvalues of the limit problem, for the whole sequence. The same convergence result is obtained for the corresponding eigenspaces. The convergence for the whole sequence of the corresponding eigenvectors is achieved when the associated homogenized eigenvalue is simple.
Source or Periodical Title
SEMA SIMAI Springer Series, vol 10
ISSN
2199-3041
Page
85-114
Document Type
Article
Language
English
Subject
Eigenvalue problems, Elliptic homogenization, Interfacial jump, Periodic unfolding method
Recommended Citation
Donato P., Gemida E., Jose E.C. (2021) Homogenization of an Eigenvalue Problem in a Two-Component Domain with Interfacial Jump. In: Donato P., Luna-Laynez M. (eds) Emerging Problems in the Homogenization of Partial Differential Equations. SEMA SIMAI Springer Series, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-030-62030-1_5
Identifier
https://doi.org/10.1007/978-3-030-62030-1_5
Digital Copy
yes
En – AGROVOC descriptors
EIGENVALUE PROBLEMS; ELLIPTIC HOMOGENIZATION; INTERFACIAL JUMP; PERIODIC UNFOLDING METHOD